Consider the following matrix A and its reduced row-echelon form: 5-6 103 2 12 -3-69 12-15 18 0 1 -3 -3 2-4 -1 0-3 -2 -1 -2 0 0 0 -6-9 9 15 -24 24 000 A= 1 2-3-4 Basis for row(A): Find the dimensions of row(A), null(A), and col(A), and give a basis for each of them. Dimension of row(A): 2 1 0 2 1 2 Basis for null(A): 0 1 -3 -3 Dimension of null(A): 1 0 {}} Basis for col(A): 2 Dimension of col(A): 1 {]} rref(A): 000 000
Consider the following matrix A and its reduced row-echelon form: 5-6 103 2 12 -3-69 12-15 18 0 1 -3 -3 2-4 -1 0-3 -2 -1 -2 0 0 0 -6-9 9 15 -24 24 000 A= 1 2-3-4 Basis for row(A): Find the dimensions of row(A), null(A), and col(A), and give a basis for each of them. Dimension of row(A): 2 1 0 2 1 2 Basis for null(A): 0 1 -3 -3 Dimension of null(A): 1 0 {}} Basis for col(A): 2 Dimension of col(A): 1 {]} rref(A): 000 000
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please find the following:
Dimension of null(A):
Basis for null(A):
Dimension of col(A):
Basis for col (A):
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